We study a finite-time thermodynamic refrigeration cycle realized numerically in three-dimensional, weakly interacting Bose-Einstein condensates (BECs). The setup consists of three spatially separated condensates (system, piston, and reservoir) coupled through time-dependent potential barriers that implement compression, expansion, and contact strokes. Finite-temperature initial states are generated with the Stochastic Ginzburg-Landau equation, and the subsequent dynamics are evolved using the truncated Gross-Pitaevskii equation. To measure temperatures we use a momentum-space thermometry method that provides estimates for each condensate. We find that despite mass transfer and sound excitations, the protocol achieves successful cooling during consecutive cycles: the first cycle lowers its temperature by $20\%$ and a second cycle yields additional, though reduced, cooling, reaching a final $27\%$ cooling from the initial state. Our results show that interacting BECs can sustain finite-time quantum thermal cycles under realistic conditions and provide a platform for exploring different refrigeration schemes, optimized control protocols, and shortcuts to adiabaticity.

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• Bose gases
• Cold and ultracold molecules
• Collective effects in atomic physics
• Quantum simulation
• Thermodynamics